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On a cold winter dry, the temperature of...

On a cold winter dry, the temperature of atmosphere is `-T^(@)C`. The cylindrical dram shown is made of insultating material and it contains water at `0^(@)C`. If `L` is latent heat of fusion of ice, `rho` is density of ice and `K_(R)` is thermal conductivity of ice, the time taken for total mass of water to freeze is

A

`(rhoL)/(H^(2)KT)`

B

`(rhoLH^(2))/(2KT)`

C

`(rhoLH^(2))/(KT)`

D

`(H^(2))/(rhoLKT)`

Text Solution

Verified by Experts

`(rhoL)/(KT)int_(0)^(4)xdx=int_(0)^(T)dtrArrT=(rhoLH^(2))/(2KT)`
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